Email this article MODELLING OF NEADAMAROV QUANTUM WANDERING FOR GRILL GRIDS OF ADVANCED DIMENSIONS
- Authors: Bondarenko A.N.1, Dedok V.A.1, Bondarenko AN1, Dedok VA1
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- Issue: Vol 11, No 5 (2010)
- Pages: 97-101
- Section: Articles
- URL: https://journals.eco-vector.com/2712-8970/article/view/504947
- ID: 504947
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Abstract
The work is devoted to studies of asymptotic properties of probability of returning in model of quantum casual wandering on grill grids of different dimensions by a method of computer modeling. Results of numerical experiments allow to formulate localization hypotheses on a two-dimensional grill grid for model of Neadamarov wanderings with various evolutionary matrixes.
About the authors
Anatoliy Nikolaevich Bondarenko
Email: bondarenkoan1953@mail.ru
Vasiliy Aleksandrovich Dedok
Email: vasiliy.a.dedok@gmail.com <mailto:vasiliy.a.dedok@gmail.com>
A N Bondarenko
V A Dedok
References
- Бондаренко А. Н., Дедок В. А. Квантовая теорема Пойа // Сиб. электрон. мат. изв. 2009. Т. 6. С. 199-210.
- Боровков А. А. Курс теории вероятностей. М. : Наука, 1972.
- Nayak A., Vishwanath A. Quantum Walk on the Line (Extended Abstract) [Electronic resource] // Cornell University Library : site. URL: <http://arxiv.org/pdf/quant->ph/0005106 (date of visit: 20.11.2010).
- Ishii K. Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered System // Prog. Theor. Phys. Suppl. 1973. № 53. P. 77-138.
- Sanders Quantum walks in higher dimensions / T. D. Mackay, S. D. Bartlett, L. T. Stephanson, B. C. Sanders // J. Phys. A: Math. Gen. 2002. Vol. 35. P. 2745-2753.
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